How do you calculate the area of a trapezoid?

Study for the GERTC PSAD Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

To calculate the area of a trapezoid, the correct formula is to take half the sum of the lengths of the two parallel sides (often referred to as the bases) and multiply it by the height of the trapezoid. This reflects the unique geometry of a trapezoid, which features two bases of differing lengths.

When you add the lengths of the two bases together, you are essentially finding the average length of the bases. Multiplying this average by the height gives you the total area enclosed within the trapezoidal shape. This method accurately accounts for the geometric properties of the trapezoid, ensuring that the area is calculated correctly.

Other formulas listed are applicable to different shapes or contexts. For example, multiplying one base by the height, as stated in the first option, does not take into account the average of both bases, thus yielding an incorrect area for a trapezoid. Similarly, the formula for length times width is pertinent to rectangles and squares, and the expression "Base1 multiplied by Base2 divided by two" does not represent the trapezoidal area correctly.

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